Almost isometric embeddings into configuration-compacta

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• 作者：Yoav Yaffe^a ; ^{yoavy6174@gmail.com"" rel=""nofollow}
• 关键词：Almost isometry ; Configuration-compactum
• 刊名：Topology and its Applications
• 出版年：2011
• 出版时间：1 July 2011
• 年：2011
• 卷：158
• 期：11
• 页码：1307-1313
• 全文大小：166 K

文摘

We show that a Polish metric space X which has ‘compact configuration spaces’ is free of almost isometric embeddings, i.e. given such an embedding into X one gets an isometric embedding. By assuming a continuous version of ₀-homogeneity we get the converse statement, and also prove almost isometry uniqueness.